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67530451681 = 71119137333619
BaseRepresentation
bin111110111001001000…
…001110101011100001
320110022022110101110001
4332321020032223201
52101300243423211
651004551540001
74610316240220
oct767110165341
9213268411401
1067530451681
11267041a7950
121110798a601
1364a291a964
1433a8a50cb7
151b538ecac1
hexfb920eae1

67530451681 has 32 divisors (see below), whose sum is σ = 88692249600. Its totient is φ = 49813807680.

The previous prime is 67530451669. The next prime is 67530451699. The reversal of 67530451681 is 18615403576.

It is a happy number.

It is not a de Polignac number, because 67530451681 - 215 = 67530418913 is a prime.

It is a super-2 number, since 2×675304516812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67530451981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991890 + ... + 2025508.

It is an arithmetic number, because the mean of its divisors is an integer number (2771632800).

Almost surely, 267530451681 is an apocalyptic number.

It is an amenable number.

67530451681 is a deficient number, since it is larger than the sum of its proper divisors (21161797919).

67530451681 is a wasteful number, since it uses less digits than its factorization.

67530451681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35029.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 67530451681 in words is "sixty-seven billion, five hundred thirty million, four hundred fifty-one thousand, six hundred eighty-one".

Divisors: 1 7 11 19 77 133 209 1373 1463 9611 15103 26087 33619 105721 182609 235333 286957 369809 638761 2008699 2588663 4471327 7026371 46158887 49184597 323112209 507747757 877018853 3554234299 6139131971 9647207383 67530451681